What is the equation that goes through (4,5) and is parallel to y=2x+1

Mathematics

1 answer:

forsale [732]3 years ago

5 0

Answer:

The equation would be y = 2x - 3

Step-by-step explanation:

To start, we need to note that they will have the same slope, since parallel lines have the same slope. Then, we can use the point-slope form to find the equation.

y - y1 = m(x - x1)

y - 5 = 2(x - 4)

y - 5 = 2x - 8

y = 2x - 3

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Simplify the radical expression.

tresset_1 [31]

To simplify this fraction, multiply the entire fraction by the conjugate of the denominator. The conjugate of a square root and a number being added to it would be the number subtracted from the square root. In other words, the conjugate of $\sqrt{a} + b$ would be $\sqrt{a} - b$ .

Applying that information to our fraction shown here, the conjugate of the denominator would be $\sqrt{3} - 4$ . We will multiply both the numerator and denominator of our original fraction by this expression to obtain our answer, as shown below.